Mathematics of Games

ResponsibleDr. Lucia Draque Penso
AssistantDr. Jens Maßberg



Meant for

Jie Fang


Master Ma/WiMa/Finance/Wiwi

Type MATH, 4 Hours Course, 2 Hour Exercises (4+2)

Place and TimeCourse:
  • Every Tuesday, 10am-12pm in Room H13
  • Every Thursday, 2pm-4pm in Room H15
  • Every Monday, 12pm-2pm in Room H14


Game theory is the study of multiperson decision problems. Such problems arise frequently in competitive scenarios where knowledge is distributed, such as in economics.  For instance, oligopolies incorporate multiperson problems: each one must consider what the others will do in order to achieve success in a competitive environment. The same happens in auctions, where several people might be interested in the very same item. How to act in the best of ways when competition is present among participants with conflictive interests? Does cooperation help in such a scenario? In which cases?

In this class, we will cover a handful of models in game theory, including models of static and dynamic information, as well as of complete and incomplete information. We will also study a variety of stable optimal solutions, including: nash equilibrium, subgame-perfect equilibrium, bayesian equilibrium, perfect bayesian equilibrium. 

Several examples are given, such as in the context of oligopolies, auctions, bargaining, tariff and wage competition, cooperative games, finite and infinite repeated games, zero sum games, signaling games, mechanism design, reputation.



  • The first exam will take place from 12pm-2pm in Auditorium H22 on Thursday, 31.07.2014.
  • The second exam will take place from 12pm-2pm in Auditorium H 4/5 on Monday, 13.10.2014.
  • The exam review will take place in the next day.
  • The second exam will take place on 13.10.2014.
  • You need to register for "Vorleistung" until 10 days before an exam takes place, in order to be allowed to register for an exam.
  • The "Vorleistung" is given to those who have obtained at least 50% out of the total number of exercise points.
  • There will be a total of 12 Exercise Sheets.
  • The 10 FIRST Exercise Sheets will count for "Vorleistung" (and thus will be corrected).
  • You will have access to your punctuation with SLC.
  • Registration for an exam is allowed until 4 days before it takes place, according to university rules.
  • The exams are the same for all master fields.




<link fileadmin website_uni_ulm mawi.inst.080 mathematics_of_games sampleexam_ss14.pdf download>
  • Game Theory, Drew Fudenberg, Jean Tirole, ANE Books (2005) - Main Book 



All exams are now corrected. Please take a look at both Hochschulportal and SLC to check your grades / points!

The Exam Review will take place on Monday the 20th, from 12pm to 2pm in room 1.50 HeHo 18.

The grade table is as follows: 

54 up - 1.0

50 up - 1.3

47 up - 1.7

44 up - 2.0

41 up - 2.3

38 up - 2.7

36 up - 3.0

34 up - 3.3

32 up - 3.7

30 up - 4.0